Flux superperiods and periodicity transitions in quantum Hall interferometers

Abstract

For strongly screened Coulomb interactions, quantum Hall interferometers can operate in a novel regime: the intrinsic energy gap can be larger than the charging energy, and addition of flux quanta can occur without adding quasi-particles. We show that flux superperiods are possible, and reconcile their appearance with the Byers-Yang theorem. We explain that the observation of anyonic statistical phases is possible by tuning to the transition from a regime with constant chemical potential to a regime with constant particle density, where a flux superperiod changes to a periodicity with one flux quantum at a critical magnetic field strength.

5 pages, 2 figures

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Cited by in corpus (15)

• Direct observation of anyonic braiding statistics at the $\nu$=1/3 fractional quantum Hall state
• Fractional charge and fractional statistics in the quantum Hall effects
• Impact of bulk-edge coupling on observation of anyonic braiding statistics in quantum Hall interferometers
• Anyons in Quantum Hall Interferometry
• Anyon braiding and telegraph noise in a graphene interferometer
• Robustness of quantum Hall interferometry
• Aharonov-Bohm interference and the evolution of phase jumps in fractional quantum Hall Fabry-Perot interferometers based on bi-layer graphene
• Measuring statistics-induced entanglement entropy with a Hong-Ou-Mandel interferometer
• Tunable tunnel coupling in a double quantum antidot with cotunneling via localized state
• Landscapes of an out-of-equilibrium anyonic sea
• Tunneling current and current correlations for anyonic quasiparticles of ν = 1/2 chiral Luttinger liquid in multi-edge geometries
• Fractional-statistics-induced entanglement from Andreev-like tunneling
• Single electron interference and capacitive edge mode coupling generates ${\Phi }_0/2$ flux periodicity in Fabry-Perot interferometers
• Superconductivity of neutral modes in quantum Hall edges
• Proposal for bulk measurement of braid statistics in fractional quantum Hall effect